Statement Theme - Header Logo Change (4 posts)

When you put the name of your blog under 'General' the header on the page still reads "Statement....". I've tried to edit the CSS to remove this logo and input my own header text and/or image but when I try to I end of changing the entire header - getting rid of the search box, etc.

I've used WordPress before but not this version (it was a year ago). My hosting provider has also changed up admin stuff on their end so I'd appreciate any assistance you could offer...thanks